Work

Numerical Algorithms for Acoustic Wave Propagation in Pipelines via a Class of Stochastic Partial Differential Systems

Year: 2025

Type: article

Abstract: A class of partial differential equations with random noise is employed to model the pipe acoustic system. A high-precision compact differential scheme is constructed for its solution. To ensure numerical stability, a buffer layer technique is applied to absorb outgoing waves. The propagation of acoustic waves under different modes is simulated. Furthermore, a specific numerical example is provided, and the results show good agreement with theoretical analysis.

Source: Mathematics

DOI: 10.3390/math14010086

Authors: Xinrong Cong, Longsuo Li, Shuxia Zhang

Institutions: Beijing Technology and Business University, Yanbian University, Jiangsu Normal University

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funders: National Natural Science Foundation of China, Beijing Technology and Business University